10011110101011 has 32 divisors (see below), whose sum is σ = 15177113937920. Its totient is φ = 6518464479072.

The previous prime is 10011110100961. The next prime is 10011110101019. The reversal of 10011110101011 is 11010101111001.

It is not a de Polignac number, because 10011110101011 - 2⁶ = 10011110100947 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10011110100984 and 10011110101002.

It is not an unprimeable number, because it can be changed into a prime (10011110101019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19397541 + ... + 19906953.

It is an arithmetic number, because the mean of its divisors is an integer number (474284810560).

Almost surely, 2^{10011110101011} is an apocalyptic number.

10011110101011 is a deficient number, since it is larger than the sum of its proper divisors (5166003836909).

10011110101011 is a wasteful number, since it uses less digits than its factorization.

10011110101011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526392 (or 526386 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 10011110101011 its reverse (11010101111001), we get a palindrome (21021211212012).

It can be divided in two parts, 100 and 11110101011, that added together give a palindrome (11110101111).

The spelling of 10011110101011 in words is "ten trillion, eleven billion, one hundred ten million, one hundred one thousand, eleven".